Question

How is graph of the functions obtained from the graph of f? $y=2f(x)-1$

Answer 1

Answer:

Step-by-step explanation:

Let, f(x) = c, where c is a constant

Then, $y=2f(x) -1$ ⇒ $y=2c - 1$ , which is a straight line parallel to x axis.

If f(x) = polynomial of one degree, suppose f(x) = mx, where m is a constant, then $y=2f(x) - 1$ ⇒ $y=2mx - 1$ is a equation of straight line .

If f(x) = polynomial of second degree, suppose $f(x) = ax^{2} + bx + c$, where a ,b, c are constant, then $y=2f(x) - 1$  becomes a equation of parabola.

You can continue this way.

Thus the graph of the functions obtained from the graph of f.

Hope it helps you.